Foundations of Physics

, Volume 17, Issue 4, pp 383–396 | Cite as

The probabilistic-informational opacity functional, Jaynes's principle, and distances to equilibrium of an evolving system

  • François Schächter


A new probabilistic-informational concept, earlier constructed by Mugur-Schächter, is further developed. Associated with Jaynes's principle, this concept permits one to define a measure for the distance between the state of a system evolving under stable constraints and the equilibrium with these constraints. An illustration is given for a gas evolving in a thermostated box. It appears that the free energy of the gas estimates the distance to equilibrium, the estimation being defined in abstract informational-probabilistic terms.


Free Energy Stable Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    F. Schächter, “A Markov-information representation of evolution,”Found. Phys.,17, 183 (1987).Google Scholar
  2. 2.
    M. Mugur-Schächter,Ann. Inst. H. Poincaré 36, 33 (1980);Kybernetes 11 (1982); “Analyse de Systèmes,” to be published;Phys. Lett., submitted.Google Scholar
  3. 3.
    E. T. Jaynes,Papers on Probability, Stabilistics and Statistical Physics, R. D. Rosenkrantz, ed. (Reidel, Dordrecht, 1983).Google Scholar
  4. 4.
    M. Tribus,J. Appl. Mech., March 1961.Google Scholar
  5. 5.
    C. Truesdell,Rational Thermodynamics (McGraw-Hill, New York, 1969).Google Scholar
  6. 6.
    R. J. Tykodi,Thermodynamics of Steady States (Macmillan, New York, 1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • François Schächter
    • 1
    • 2
  1. 1.Laboratoire de Physiologie CellulaireUniversité Pierre et Marie CurieParisFrance
  2. 2.National Institute of HealthBethesdaUSA

Personalised recommendations